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Simplifying 6(8y + 4) = -16 + 8y Reorder the terms: 6(4 + 8y) = -16 + 8y (4 * 6 + 8y * 6) = -16 + 8y (24 + 48y) = -16 + 8y Solving 24 + 48y = -16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 24 + 48y + -8y = -16 + 8y + -8y Combine like terms: 48y + -8y = 40y 24 + 40y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + 40y = -16 + 0 24 + 40y = -16 Add '-24' to each side of the equation. 24 + -24 + 40y = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 40y = -16 + -24 40y = -16 + -24 Combine like terms: -16 + -24 = -40 40y = -40 Divide each side by '40'. y = -1 Simplifying y = -1
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